Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8876/212,3914/1681
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8876,3914
Greatest Common Factor of Numerators i.e. GCF of 8876,3914 is 2 .
LCM of Denominators means LCM of 212,1681 as per the given fractions.
LCM of 212,1681 is 356372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8876,3914
2 | 8876, 3914 |
4438, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8876
List of positive integer factors of 8876 that divides 8876 without a remainder.
1,2,4,7,14,28,317,634,1268,2219,4438,8876
Factors of 3914
List of positive integer factors of 3914 that divides 3914 without a remainder.
1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 8876,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,3914 is 2.
Lets's calculate LCM of 212,1681
Given numbers has no common factors except 1. So, there LCM is their product i.e 356372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356372
Therefore, the GCF of Fractions 8876/212,3914/1681 is 2/356372
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 212,1681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,1681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,1681) x common factors =1 x 1 = 1
LCM(212,1681) = ( 212 × 1681 ) / 1
LCM(212,1681) = 356372 / 1
LCM(212,1681) = 356372
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 8876/212, 3914/1681?
Answer: GCF of Numerators as per given numbers 8876/212, 3914/1681 is
GCF of Numerators i.e. for 8876,3914 is 2
LCM of denominators i.e. for 212,1681 is 356372.
Thus, GCF of Fractions is 2/356372.Finally, GCF of Fractions for 8876/212, 3914/1681 is 2/356372.